# Quant Test for IBPS Clerk 2018 Prelim Exam Set – 03

Directions(1-5): Find the value of x and y and choose a required solution.

1. 4x^2 – 39x + 56 = 0
2y^2 = 5y + 33

y>=x
x>y
y>x
x>=y
No relationship established.
Option E
4x^2 – 39x + 56 = 0
=> 4x^2 – 32x – 7x + 56 = 0
=> 4x(x-8) – 7(x-8) = 0
=> x = 8,7/4 2y^2 = 5y + 33
=>2y^2 – 5y – 33 = 0
=> 2y^2 – 11y + 6y – 33 = 0
=> y(2y – 11) + 3(2y – 11) = 0
=> y = 11/2,-3
No relationship established.

2. x^2 – 3x – 28 = 0
y^2 + 12y + 32 = 0

x>y
y>=x
y>x
No relationship established.
x>=y
Option E
x^2 – 3x – 28 = 0
=>x^2 – 7x + 4x – 28 = 0
=> x(x-7) +4(x-7) = 0
=> (x-7)(x+4) = 0
=> x = 7, -4
y^2 + 12y + 32 = 0
y^2 + 12y + 32 = 0
=>y^2 + 8y + 4y + 32 = 0
=> y(y+8) + 4(y+8) = 0
=>y = -4, -8
x>=y

3. x^2 + 27x + 180 = 0
y^2 + 23y + 132 = 0

x>=y
No relationship established.
y>x
x>y
y>=x
Option E
x^2 + 27x + 180 = 0
=>x^2 + 12x + 15x + 180 = 0
=> x(x+12) + 15(x+12) = 0
=> x = -12, -15
y^2 + 23y + 132 = 0
=>y^2 + 11y + 12y + 132 = 0
=> y(y+11)+12(y+11) = 0
=>y = -11, -12
y>=x

4. 4x + 7y = 76
9x – 5y = 5

No relationship established.
y>x
x>y
x>=y
y>=x
Option B
(4x + 7y = 76)*5
(9x – 5y = 5)*7
x = 5 y = 8
y > x

5. 3x^2 – 8x + 4 = 0
8y^2 – 6y + 1 = 0

y>=x
No relationship established.
x>=y
y>x
x>y
Option E
3x^2 – 8x + 4 = 0
=>3x^2 – 6x – 2x + 4 = 0
=> 3x(x-2) – 2(x-2) = 0
=> x = 2, 2/3
8y^2 – 6y + 1 = 0
=>8y^2 – 2y – 4y + 1 = 0
=> 2y(4y-1) – 1(4y-1) = 0
=> y = ½, ¼
x>y

6. Directions(6-10):
Study the following information carefully and answer the question given below it :
Percentage proportion of income of seven companies in a state during financial year – 2013 – 14 : Percentage profit of these companies during the same Financial Year : 7. What is the ratio of the expenditure of company D to company C ?
81 : 10
80 : 13
79 : 11
85 : 19
80 : 11
Option E
Required ratio = 80 : 11

8. Which of the following companies has recorded the maximum profit in this financial year if the combined income of these companies is 4500 crore ?
5400
4100
2500
3150
3250
Option A
5% = 750
1 % = 150
45*150/125*100 = 5400 crore

9. If the income of company D and B together is Rs.270 crore then fined the profit of company B in that year ?
20.15
11.75
17.17
13.35
31.20
Option B
(20 % + 10 %) = 270
10% = 90
=> IB = 90
E(B) = 90*100/115 = 78.26
=>PB = 11.739 == 11.75 crore

10. If in the given financial year income of company A was 440 crore. What was the approximately expenditure of company C in that year ?
10
22
35
15
18
Option B
20 % = 440
1% = 440/20 = 22

11. If the expenditure of company D is 750 crore, what was the total income of all the given companies together ?
4250
3300
3020
4125
4000
Option D
20%*100/110*Total = 750
=> Total = 4125